In Worship of Pagan Gods

Someone recently said that he wished people would get back to the true meaning of Christmas. I wondered if he really believed this, because the “true meaning” of Christmas is rooted in Pagan beliefs. Christmas, as well as Easter and Halloween, are Pagan holidays. If we were to get back to the real meaning of these holidays, we would be worshiping Pagan gods. I wonder if most religious people are aware of this?